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Finding the Fourth Proportional to 209,214.20, 313,475.70 and 178,110.20

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Solution

The fourth proportional to 209,214.20, 313,475.70 and 178,110.20 is: 266,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.20 : 313,475.70 = 178,110.20 : x
  2. Step 2: Convert to fraction form
    209,214.20/313,475.70 = 178,110.20/x
  3. Step 3: Cross multiply
    209,214.20x = 313,475.70 × 178,110.20
  4. Step 4: Simplify right side
    209,214.20x = 55,833,219,622.14
  5. Step 5: Solve for x
    x = 55,833,219,622.14/209,214.20
  6. Step 6: Final answer
    x = 266,871.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.